Clustering of atoms in molten Fe1−yTiyNx

Shohoji, Nobumitsu

doi:10.1016/0254-0584(89)90055-2

Cited by 14 publications

(4 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…To explain why θ vs. y relationship in range of y between 0.4 and 0.9 in Figure 2 deviated from the relationsip defined by Equation 16 It is intriguing to note that no evidence of existence of 2 M/4 Fe cluster as depicted in Figure 4(b) was detected for A 1−y B y X x type interstitial non-stopichiometric compounds analyzed so far. 3.60 in [2] or Figure 4 in [26] [50] as well as Ta 0.95 W 0.05 [51]. Looking at values of θ and Q for these A 1−y M y type alloys containing Va-group metal (represented by A) in Table 2, it is noticed that θ was smaller and Q was more negative in this group of alloys than those in pure Va-group metal A except Ta 0.95 W 0.05 .…”

Section: Atom Clustering In Fe1−ymyxx Around X Atommentioning

confidence: 99%

“…[24] [26]. This aspect shall be reviewed in the following.As always in this line of statistical thermodynamic analysis, θ parameter values on analysis of molten Fe 1−y Cr y N x for varying y were determined accepting an a priori assumption of constant ( ) E N N − over homogeneity composition of Fe 1−y CryNx as reproduced inFigure 2and, by the statistical thermodynamic…”

mentioning

confidence: 99%

See 1 more Smart Citation

Characterizing Atomic Interactions in Interstitial Non-Stoichiometric Compounds by Statistical Thermodynamics: Engineering Usage of Estimated Values of Statistical Thermodynamic Parameters

Shohoji¹

2017

JMP

View full text Add to dashboard Cite

Statistical thermodynamics allows us to estimate atomistic interactions in interstitial non-stoichiometric compounds MX x through analysis of experimentally determined pressure-temperature-composition (PTC) relationships for MX x being in equilibrium with X 2 in gaseous state () How to cite this paper: Shohoji, N. (2017) Characterizing Atomic Interactions in Interstitial Non-Stoichiometric Compounds by Statistical Thermodynamics: Engineering

show abstract

Section: Atom Clustering In Fe1−ymyxx Around X Atommentioning

confidence: 99%

mentioning

confidence: 99%

Characterizing Atomic Interactions in Interstitial Non-Stoichiometric Compounds by Statistical Thermodynamics: Engineering Usage of Estimated Values of Statistical Thermodynamic Parameters

Shohoji¹

2017

JMP

View full text Add to dashboard Cite

show abstract

“…This feature might look strange at first glance but, with reference to the available atom clustering models for some Fe 1Ϫy M y X x systems, [6][7][8][9][10][11][12] the observed apparently confusing y-dependence of a P -x isotherm shift pattern along a P direction must be interpreted in terms of change-over of cluster type surrounding P atom in the interstitial site (probably octahedral interstitial site). In the range of y smaller than 0.12, Cr-P dipole (or 1Cr/5Fe type cluster) might have formed while, in the range of y higher than 0.12, 4Cr/2Fe type cluster might have formed with reference to the information gathered by statistical thermodynamic consideration for this type of alloys.…”

Section: )mentioning

confidence: 99%

“…In the range of y smaller than 0.12, Cr-P dipole (or 1Cr/5Fe type cluster) might have formed while, in the range of y higher than 0.12, 4Cr/2Fe type cluster might have formed with reference to the information gathered by statistical thermodynamic consideration for this type of alloys. [6][7][8][9][10][11][12] Anyway, to gain more concrete quantitative information, a P -T-x relationships estimated in this work for respective y for Fe 1Ϫy Cr y P x must be subjected to detailed statistical thermodynamic analysis. This line of analysis might be made in future as a separate work.…”

Section: )mentioning

confidence: 99%

Empirical Expression of Phosphorus Solubility in Molten Fe1-yCry Given as Functions of Temperature and Phosphorus Activity

Shohoji

Dias

2005

ISIJ Int.

View full text Add to dashboard Cite

Chemical activity-temperature-composition (a -T-x-y) relationships determined by Knudsen effusion technique were made available for molten Fe-Cr-P system by a group of Russian researchers. Nevertheless, they were not presented in form of solubility x in Fe 1Ϫy Cr y P x as explicit functions of phosphorus activity a P and temperature T for given y and thence they are not readily usable for evaluating P solubility in molten Fe 1Ϫy Cr y at arbitrary T under certain a P . In the present work, effort was invested to derive empirical expression for the solubility x in Fe 1Ϫy Cr y P x as functions of T and a P at given y from the reported a P -T-x-y relationships in discrete tabulated format. Such analytical expression of solubility x might allow us to proceed with more profound consideration for atomic interaction and atomic configuration in the molten Fe 1Ϫy Cr y P x on the basis of statistical thermodynamics.KEY WORDS: molten Fe-Cr-P; non-stoichiometry; interstitial compound; phosphorus activity; Knudsen effusion technique. Analysis Available Equilibrium Phase Relationships forMolten Fe 1؊y Cr y P x Zaitsev et al.1) measured a Fe , a Cr and a P using Knudsen effusion technique over Fe-Cr-P ternary melt of specified compositions. As our interest was to derive expressions for x as functions of a P and T for given y in molten Fe 1Ϫy Cr y P x , we reproduce partially the presented data in Table I Form of Expression for xIn the earlier work 3) on comparative analysis of solubility of H, N and C in Fe, solubilities of H and N (diatomic ideal gas) were demonstrated to be most conveniently represented by expressionwhere A, B and C are constants to be determined to yield the best-fit experimental relationships (XϭH, N) whereas solubility x of C (solid element) in Fe was simulated by simpler expression (2) where A and C are constants determined with reference to available experimental solubility data.We decided to use the format of Eq. (1) for the expression of x for Fe 1Ϫy Cr y P x at any given y. For this purpose, we re-organised the equilibrium data presented by Zaitsev et al. 1) according to ascending order of y discarding the groups which possess the number of data sets no more than 5 (see Table 2) to ensure minimised margin of error in stochastic data processing. Determining Values of Parameters, A, B and C, in the x Estimation FormulaThe values of A, B and C for given values of y were determined as follows from the reported sets of experimental data. Among selected six groups of (x, y) data combinations, number of (a P , T) data combination was the highest in the group V (there are ten sets of (a P , T) available in the group V while there were eight sets in the other chosen groups). Thus, preliminary determination of values for constants, A, B and C, was made for the group V. As listed in Table 2, A for the group V (Fe 0.726 Cr 0.274 P 0.212 ) was determined to be 1.002ϫ10 4 , B Ϫ1.41 and C 1.594ϫ10 4 by repeated numerical iteration to make the minimum for the sum of squares of the difference between xϭ0.212 and t...

show abstract

Stability of hydrogen and nitrogen in group VIa metals (Cr, Mo, W) and iron-group metals (Fe, Co, Ni) evaluated by statistical thermodynamics

Dias

Shohoji

1992

J Mater Sci

View full text Add to dashboard Cite

Clustering of atoms in molten Fe1−yTiyNx

Cited by 14 publications

References 15 publications

Characterizing Atomic Interactions in Interstitial Non-Stoichiometric Compounds by Statistical Thermodynamics: Engineering Usage of Estimated Values of Statistical Thermodynamic Parameters

Characterizing Atomic Interactions in Interstitial Non-Stoichiometric Compounds by Statistical Thermodynamics: Engineering Usage of Estimated Values of Statistical Thermodynamic Parameters

Empirical Expression of Phosphorus Solubility in Molten Fe1-yCry Given as Functions of Temperature and Phosphorus Activity

Stability of hydrogen and nitrogen in group VIa metals (Cr, Mo, W) and iron-group metals (Fe, Co, Ni) evaluated by statistical thermodynamics

Contact Info

Product

Resources

About